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Finding the Fourth Proportional to 260.63, 390.63 and 145.01

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Solution

The fourth proportional to 260.63, 390.63 and 145.01 is: 217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.63 : 390.63 = 145.01 : x
  2. Step 2: Convert to fraction form
    260.63/390.63 = 145.01/x
  3. Step 3: Cross multiply
    260.63x = 390.63 × 145.01
  4. Step 4: Simplify right side
    260.63x = 56,646.23
  5. Step 5: Solve for x
    x = 56,646.23/260.63
  6. Step 6: Final answer
    x = 217.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.